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Azerbaijan Team Selection Test 2016 First Round

Source: Azerbaijan Team Selection Test 2016 First Round

October 20, 2015
algebrafunctional equationfunction

Problem Statement

Find the solution of the functional equation P(x)+P(1āˆ’x)=1P(x)+P(1-x)=1 with power 20152015
P.S: P(y)=y2015P(y)=y^{2015} is also a function with power 20152015
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